MECH Dept Engineering Topics List

Transforms and Partial Differential Equations

Subject and UNIT: Transforms and Partial Differential Equations: Formula

some important hints, results & formulae : Z - Transforms and Difference Equations - Transforms and Partial Differential Equations

Z - Transforms and Difference Equations | Transforms and Partial Differential Equations

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

Questions and Answers: Z - Transforms and Difference Equations - Transforms and Partial Differential Equations

Formula with Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

We know that Laplace Transforms are very useful to solve linear differential equations

Definition, Statement, Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

Def. Difference equations: A difference equation is a relation between the differences of an unknown function at one or more general values of the argument.

Definition, Statement, Proof, Solved Example Problems | Z - Transforms

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

The convolution theorem plays an important role in the solution of difference equations and in probability problems involving sums of two independent random variables.

Definition, Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

Def. Inverse Z-transform If Z[x(n)] = X(z) then Z-1[X (z)] = [x (n)] Z-1[X (z)] can be found out by any one of the following methods.

Applications, Elementary properties, Definition, Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit V: Z - Transforms and Difference Equations

The Z-transform plays the same role for discrete systems as the Laplace transform does for continuous systems.

Fourier Transforms | Transforms and Partial Differential Equations

Subject and UNIT: Transforms and Partial Differential Equations: Unit IV: Fourier Transforms

Questions and Answers - Fourier Transforms - Transforms and Partial Differential Equations

Definition, Statement, Proof, Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit IV: Fourier Transforms

a. FOURIER COSINE TRANSFORM: The infinite Fourier cosine transform of f (x) is defined by

Definition, Properties, Proof Statement, Inversion formula, Parseval's identity, Convolution theorem, Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit IV: Fourier Transforms

Whatever definitions or format we use, there will be a difference in constant factor while finding F (s) = F [f(x)]. But this will be adjusted while expressing f(x) as a Fourier integral.

Sine and Cosine | Solved Example Problems

Subject and UNIT: Transforms and Partial Differential Equations: Unit IV: Fourier Transforms

Integral transforms are used in the solution of partial differential equations.

Applications of Partial Differential Equations | Transforms and Partial Differential Equations

Subject and UNIT: Transforms and Partial Differential Equations: Unit III: Applications of Partial Differential Equations

Questions and Answers: Applications of Partial Differential Equations - Transforms and Partial Differential Equations